a lojban dictionary editing system

Get A Printable Dictionary
Search Best Words
Recent Changes
How You Can Help
valsi - All
valsi - Preferred Only
natlang - All
natlang - Preferred Only
XML Export
user Listing
Report Bugs
Admin Request
Create Account
Dictionary record
Back to the main valsi listing.
valsi cnansari
type fu'ivla
creator krtisfranks
time entered Sun Apr 1 05:01:25 2018

Definition #70583 - Preferred [edit]
definition x1 is the mean-value theorem mean/forward-difference-quotient mean of the elements of (multi)set x2 (1-element or 2-element set) under/for function x3.
notes Let the sumti of x3 be a real-valued, univariate function f which is defined and continuous on at least the closed interval [ min(x2), max(x2)] and differentiable on at least the open interval (min(x2), max(x2)), such that the derivative f' is injective. Then x1 = (f')(-1)((f (max(x2)) - f (min(x2)))/(max(x2) - min(x2))) if x2 has cardinality 2; if x2 has cardinality 1, then x1 is equal to the sole element of that set; other repairs may be necessary, depending on f: for example, f = log has x1 = 0 if 0 is an element of x2. If x3 is filled with the monic, single-term polynomial of (integer) degree p such that p > 1, then x1 will be the principal (p-1)th root of the (1/p)-scaled weighted (p,1)-Lehmer mean (cnanlime) of the elements of x2 wherein the weight of the lesser of them is -1 (and the other weight is +1) unless x2 is a singleton (in which case the weights are both +1). Usually, x1 is the value which is guaranteed to exist for appropriate function x2 by the Mean-Value Theorem.
gloss words
created by krtisfranks
vote information 1
time Sun Apr 1 05:59:29 2018


krtisfranks{cnano} + {salpo} + {salri} + {dugri}.[edit]
Currently, jbovlaste will accept data for 69 languages.
You are not logged in.

  recent changes jbovlaste main
This is jbovlaste, the lojban dictionary system.
The main code was last changed on Wed 07 Oct 2020 05:54:55 PM PDT.
All content is public domain. By submitting content, you agree to place it in the public domain to the fullest extent allowed by local law.
jbovlaste is an official project of the logical language group, and is now headed by Robin Lee Powell.
E-mail him if you have any questions.
care to log in?